6533b853fe1ef96bd12ad642
RESEARCH PRODUCT
PROPAGATING INTERFACES IN A TWO-LAYER BISTABLE NEURAL NETWORK
Saverio MorfuPatrick MarquiéV. B. KazantsevJean-marie BilbaultVladimir I. Nekorkinsubject
propagation failureBistabilityComputer science[ PHYS.COND.CM-DS-NN ] Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]Interface (computing)Topology01 natural sciences010305 fluids & plasmas[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Control theory0103 physical sciences[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS][PHYS.COND.CM-DS-NN]Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]0101 mathematicsEngineering (miscellaneous)ComputingMilieux_MISCELLANEOUSRest (physics)Artificial neural networkApplied Mathematicsneural networksAction (physics)[ SPI.TRON ] Engineering Sciences [physics]/Electronics[SPI.TRON]Engineering Sciences [physics]/Electronics010101 applied mathematicsNonlinear systemNonlinear dynamicsModeling and SimulationExcited stateExcitationdescription
The dynamics of propagating interfaces in a bistable neural network is investigated. We consider the network composed of two coupled 1D lattices and assume that they interact in a local spatial point (pin contact). The network unit is modeled by the FitzHugh–Nagumo-like system in a bistable oscillator mode. The interfaces describe the transition of the network units from the rest (unexcited) state to the excited state where each unit exhibits periodic sequences of excitation pulses or action potentials. We show how the localized inter-layer interaction provides an "excitatory" or "inhibitory" action to the oscillatory activity. In particular, we describe the interface propagation failure and the initiation of spreading activity due to the pin contact. We provide analytical results, computer simulations and physical experiments with two-layer electronic arrays of bistable cells.
year | journal | country | edition | language |
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2006-03-01 | International Journal of Bifurcation and Chaos |